| 一类非光滑多目标半无限规划的最优性条件 |
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| 引用本文： | 冯强,王荣波.一类非光滑多目标半无限规划的最优性条件[J].纯粹数学与应用数学,2010,26(6):1005-1011. |
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| 作者姓名： | 冯强 王荣波 |
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| 作者单位： | 延安大学数学与计算机科学学院,陕西,延安,716000;延安大学数学与计算机科学学院,陕西,延安,716000 |
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| 基金项目： | 国家自然科学基金，陕西省教育厅专项科研基金，延安大学科研基金 |
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| 摘 要： | 利用K-方向导数,给出了一类存在性更为广泛的广义凸函数.即广义一致K-（F,α,ρ,d）-I型凸函数,进而讨论了涉及这些新广义凸性的一类多目标半无限规划的最优性条件。
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| 关 键 词： | 广义一致K-(F α ρ d)-Ⅰ型凸函数 多目标半无限规划 最优性条件 有效解 |
Optimality conditions for a class of nonsmooth multiobjective semi-infinite programming |
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| FENG Qiang,WANG Rong-bo.Optimality conditions for a class of nonsmooth multiobjective semi-infinite programming[J].Pure and Applied Mathematics,2010,26(6):1005-1011. |
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| Authors: | FENG Qiang WANG Rong-bo |
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| Institution: | (Department of Mathematics and Computer Science,Yan’an University,Yan’an 716000,China) |
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| Abstract: | In this paper,the definitions of some classes of nonsmooth generalized convex functions are presented by means the concepts of k-directional derivative,that is,generalized uniform K-（F,α,ρ,d）-I convex functions,etc,the optimality conditions for a class of nonsmooth multiobjective semi-infinite programming are considered,involing these new generalized invexities. |
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| Keywords: | k-directional derivative generalized uniform K-（F α ρ d）-I convex functions multiobjectives semi-infinite programming optimality conditions effcient solution |
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